If you upgrade to two-factor authentication, you can’t log in to your Mac with an iCloud password

Apple slipped in a change in April 2016 that’s affecting people who change the protection on their Apple ID accounts.

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Apple

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Glenn Fleishman is the author of dozens of books. His most recent include Take Control of Your M-Series Mac, Take Control of Securing Your Mac, Take Control of Zoom, and Six Centuries of Type and Printing. In his spare time, he makes Tiny Type Museums. He’s a senior contributor to Macworld, where he writes Mac 911.